1993
DOI: 10.1109/43.205007
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Constrained via minimization

Abstract: We show that the general two layer constrained via minimization problem and the three layer constrained via minimization problem for HVH topologies are NP-hard. A backtracking and a heuristic algorithm for the three layer HVH constrained via minimization problem are proposed. The backtracking algorithm can also be used for three layer non HVH problems. Experimental results indicate that our heuristic generally outperforms that of [CHAN89].

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Cited by 13 publications
(3 citation statements)
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References 11 publications
(19 reference statements)
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“…Layer assignment impacts several design objectives, such as timing, noise, and manufacturability, but our layer assignment mainly focuses on via minimization without altering any routing topology. This problem is known as constrained via minimization (CVM) [Chang and Du 1988;Chang and Cong 1999;Ahn and Sahni 1993] which is shown to be NP-complete [Naclerio et al 1989]. However, our layer assignment for via minimization inherently differs from previous works on CVM in two aspects.…”
Section: Layer Assignmentmentioning
confidence: 97%
“…Layer assignment impacts several design objectives, such as timing, noise, and manufacturability, but our layer assignment mainly focuses on via minimization without altering any routing topology. This problem is known as constrained via minimization (CVM) [Chang and Du 1988;Chang and Cong 1999;Ahn and Sahni 1993] which is shown to be NP-complete [Naclerio et al 1989]. However, our layer assignment for via minimization inherently differs from previous works on CVM in two aspects.…”
Section: Layer Assignmentmentioning
confidence: 97%
“…These algorithms transform the problem into the planar % maximum cut problem, which is solvable in polynomial time. # However, if the layout is not Manhattan with junction degrees " less or equal to three, the two-layer constrained via minimization problem was shown to be NP-hard [13]- [15].…”
mentioning
confidence: 99%
“…However, when one via is eliminated, other 5 vias might be introduced. Ahn and Sahni [15] proved that the # three-layer constrained via minimization problem remains to # be NP-hard for Manhattan routing even if the routing is restricted A to HVH channel routing. They proposed a trackby-track heuristic algorithm for layer assignment in the HVH constrained 0 via minimization problem.…”
mentioning
confidence: 99%